A still sharper region where p(x) - li(x) is positive**
We consider the least number x for which a change of sign of π(x) − li(x) occurs. First, we consider modifications of Lehman’s method that enable us to obtain better estimates of some error terms. Second, we establish a new smaller upper bound for the first x for which the difference is positive. Third, we use numerical computations to improve the final result.
|Collections||ANU Research Publications|
|Source:||Mathematics of Computation|
|01_Saputer_A_still_sharper_region_where_2015.pdf||219.95 kB||Adobe PDF||Request a copy|
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